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252011424 = 2537375017
BaseRepresentation
bin11110000010101…
…10001110100000
3122120012111200110
433001112032200
51004003331144
641001251320
76150030120
oct1701261640
9576174613
10252011424
1111a287a05
1270493b40
13402980b2
1425680c80
15171d00b9
hexf0563a0

252011424 has 48 divisors (see below), whose sum is σ = 756036288. Its totient is φ = 72003072.

The previous prime is 252011407. The next prime is 252011443. The reversal of 252011424 is 424110252.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 252011424.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186837 + ... + 188180.

It is an arithmetic number, because the mean of its divisors is an integer number (15750756).

Almost surely, 2252011424 is an apocalyptic number.

252011424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252011424 is an abundant number, since it is smaller than the sum of its proper divisors (504024864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252011424 is a wasteful number, since it uses less digits than its factorization.

252011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375037 (or 375029 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 252011424 is about 15874.8676844880. The cubic root of 252011424 is about 631.6455043426.

Adding to 252011424 its reverse (424110252), we get a palindrome (676121676).

The spelling of 252011424 in words is "two hundred fifty-two million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 375017 750034 1125051 1500068 2250102 2625119 3000136 4500204 5250238 6000272 7875357 9000408 10500476 12000544 15750714 18000816 21000952 31501428 36001632 42001904 63002856 84003808 126005712 252011424